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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 421, Pages 47–57
(Mi znsl5748)
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An interacting particle process related to Young tableaux
A. Borodinab, G. Olshanskicad a Institute for Information Transmission Problems, Bolshoy Karetny per. 19, 127994 Moscow, Russia
b Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA, USA
c Independent University of Moscow, Russia
d National Research University Higher School of Economics, Moscow, Russia
Abstract:
We discuss a stochastic particle system consisting of a two-dimensional array of particles living in one space dimension. The stochastic evolution bears a certain similarity to Hammersley's process, and the particle interaction is governed by the combinatorics of Young tableaux.
Key words and phrases:
Young tableaux, piecewise deterministic Markov processes.
Received: 27.11.2013
Citation:
A. Borodin, G. Olshanski, “An interacting particle process related to Young tableaux”, Representation theory, dynamical systems, combinatorial methods. Part XXIII, Zap. Nauchn. Sem. POMI, 421, POMI, St. Petersburg, 2014, 47–57; J. Math. Sci. (N. Y.), 200:6 (2014), 671–676
Linking options:
https://www.mathnet.ru/eng/znsl5748 https://www.mathnet.ru/eng/znsl/v421/p47
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Abstract page: | 345 | Full-text PDF : | 97 | References: | 79 |
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